A spaceship moving away from Earth at 0.900c fires a robot space probe in the same direction as its motion at 0.700c relative to the spaceship. (a) What is the probe's velocity relative to Earth? (Define clearly the reference frames S and S' that you use to obtain your solution.)
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- The proper length of one spaceship is three times that of another. The two spaceships are traveling in the same direction and, while both are passing overhead, an Earth observer measures the two spaceships to have the same length. If the slower spaceship has a speed of 0.354c with respect to Earth, determine the speed of the faster spaceship. (Give your answer to at least 3 significant figures.) |cAs spaceship A moves away from the earth at 0.490c, the captain observes a second spaceship (B) moving in the same direction at a speed of 0.482c relative to A. Find the speed of B relative to the earth. cA spaceship departs from a space station and achieves a constant speed of 0.80cwith respect to thes tation, moving directly away from it. The spaceship fires a torpedo forward (in the same direction). The torpedo’s speed with respect to the spaceship is 0.40c. How fast is the torpedo moving with respect to the station?
- An electron moving at 0.80c relative to the Earth reference frame travels the 100m length of a building (as measured in the Earth reference frame). What is the length of the building according to an observer moving along with the electron?The measured mean lifetime of an elementary particle when it is at rest in the lab is measured to be 2.6x10-8 s. If the particle is observed while traveling at a speed v=0.9 c with respect to the lab. What will be the value of the measured mean lifetime while the particle is moving?A spaceship from another galaxy passes over the solar system directly above a radial line from the sunto the Earth. (We measure the distance between the Earth and the Sun to be 1.496 x 1011 m.) Anobserver standing on the Earth measures that the spaceship is approaching at 0.800c. The Earth-basedobserver also measures that it takes the spaceship 625 seconds to travel from the sun to Earth. Ignorethe relative motion of the Sun and Earth in this problem – their relative speed is only 0.001c, negligiblysmall compared to 0.800c.a) According to a scientist in the spaceship, the Earth-Sun distance is: ______8.9 x 10 ^10__________________b) According to a scientist in the spaceship, the time it takes her to travel the Earth-Sun distance is:_________374 s _______________c) What is the ratio of the kinetic energy to rest energy of the spaceship? KE/ER = _______0.667__________d) As the spaceship passed over the Sun, the alien scientist launched a probe toward Earth, traveling at0.200c relative to…
- Observers in reference frame S see an explosion located at x1=620 m. A second explosion occurs 6.0 micro-s later at x2=1500 m.In reference frame S', which is moving along the +x-axis at speed V, the explosions occur at the same point in space. What is the separation in time delta t' between the two explosions as measured in frame S'? Express your answer in microseconds (micro-s). delta t' = ? micro-sA particle Q move from left to right at a speed of 0.85c. A second particle R moves from left to right at a speed of 0.8c, and a third particle S moves from right to left at speed -0.8c. Find: A)The speed of particle R relative to particle Q. B)The speed of particle S relative to particle Q.Spaceships A and B move in opposite directions at the same speed of 0.907c relative to earth, with A moving away from earth and B moving toward earth. Find the velocity of B relative to A.
- The inertial reference frames, S and S', both share the same origin at t =t'=0. The S' frame is moving at a speed 0.700c in the positive direction, as seen by frame S. An event happens at (t',x', y', z') (300s, 2.50x10"m, 1.50x10"m, 2.90x10"m), as observed in the S' frame. What are the spacetime coordinates in the S frame?In frame o an object moves in the x-direction with velocity u = 0.82c. Find the magnitude of the x-component of the velocity in frame o' which moves at velocity v =-.75c in the x-direction relative to frame o. Give your answer in units of c (e.g. 0.703 if the answer is 0.703c). Round your answer to 3 decimal places. Add your answerA newly constructed spaceship has a length of 100.0 m (as measured in the rest frame). This spaceship departs the Earth, bound for a distant planet located a distance D = 50.0 light-years away from the Earth. It travels at a constant speed of v = 0.900c. Part A) As measured by Mission Control on Earth, how long does the journey take? Enter the numerical value in units of years. Part B) According to an astronaut on the spaceship, how long does the journey take? Enter the numerical value in units of years. Part C) As measured by Mission Control on Earth, what is the spaceship's apparent length? Enter the numerical value in SI units